Maths Exam

1. Simplify 1

Simplify the following expression: $$ {\left(-6 - 2\right)}^{2} + \left(-4 - 1\right)\left(3 + -3\right) $$
Correct Answer
$$ 64$$ or 64.0000

2. Simplify 2

Simplify the following expression: $$ \frac{3 - -6}{2\times3}2\left(-4 - -6\right) $$
Correct Answer
$$ 6$$ or 6.00000

3. Fractions 1

Simplify the following expression: $$ \frac{5}{4} - \frac{-2}{6} $$
Correct Answer
$$ \frac{19}{12}$$ or 1.5833333333333333

4. Fractions 2

Simplify the following expression: $$ \frac{1}{3}\frac{-2}{4} $$
Correct Answer
$$ \frac{-1}{6}$$ or -0.16666666666666666

5. Significant figures

1. Write the following to 3 significant figures: 1.5547754
Correct Answer
1.55 or $$1.55\times10^{0}$$
2. Write the following to 4 significant figures: 269.62993
Correct Answer
269.6 or $$2.696\times10^{2}$$

6. Standard Form

1. Write the following in standard form to 3 significant digits: 545435
Correct Answer
$$5.45\times10^{5}$$
2. Write the following in standard form to 5 significant digits: 0.0000698953
Correct Answer
$$6.9895\times10^{-5}$$

7. Significant figures

1. Write the following in preferred standard form to 3 significant digits: 30.75
Correct Answer
$$30.8\times10^{0}$$
2. Write the following in preferred standard form to 4 significant digits: 28037.8
Correct Answer
$$28.04\times10^{3}$$

8. Simplify 2

Simplify the following expression: $$ \frac{5 + -3}{6 + 5} - 2\times5\times4 $$
Correct Answer
$$ \frac{-438}{11}$$ or -39.8182

9. Simplify 1

Simplify the following expression: $$ \left(5 + 1\right)\left(6 + 3\right) - {\left(2 + 2\right)}^{2} $$
Correct Answer
$$ 38$$ or 38.0000

10. Simplify 2

Simplify the following expression: $$ 2\left(-2 - -6\right) - \left(3 - 3\right)\frac{5}{-5} $$
Correct Answer
$$ 8$$ or 8.00000


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